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Finding the Third Proportional to 4,366.13 and 5,676.75

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Solution

The third proportional to 4,366.13 and 5,676.75 is: 7,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.13 : 5,676.75 = 5,676.75 : x
  2. Step 2: Convert to fraction form
    4,366.13/5,676.75 = 5,676.75/x
  3. Step 3: Cross multiply
    4,366.13x = 5,676.75 × 5,676.75
  4. Step 4: Simplify right side
    4,366.13x = 32,225,490.56
  5. Step 5: Solve for x
    x = 32,225,490.56/4,366.13
  6. Step 6: Final answer
    x = 7,380.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.